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Finding the Fourth Proportional to 1,465.88, 2,198.49 and 425.89

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Solution

The fourth proportional to 1,465.88, 2,198.49 and 425.89 is: 638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.88 : 2,198.49 = 425.89 : x
  2. Step 2: Convert to fraction form
    1,465.88/2,198.49 = 425.89/x
  3. Step 3: Cross multiply
    1,465.88x = 2,198.49 × 425.89
  4. Step 4: Simplify right side
    1,465.88x = 936,303.91
  5. Step 5: Solve for x
    x = 936,303.91/1,465.88
  6. Step 6: Final answer
    x = 638.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.